The Adventure of Reason: Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940

by Paolo Mancosu

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Paolo Mancosu presents a series of innovative studies in the history and the philosophy of logic and mathematics in the first half of the twentieth century. The Adventure of Reason is divided into five main sections: history of logic (from Russell to Tarski); foundational issues (Hilbert's program, constructivity, Wittgenstein, Goedel); mathematics and phenomenology (Weyl, Becker, Mahnke); nominalism (Quine, Tarski); semantics (Tarski, Carnap, Neurath).
Mancosu exploits extensive untapped archival sources to make available a wealth of new material that deepens in significant ways our understanding of these fascinating areas of modern intellectual history. At the same time, the book is a contribution to recent philosophical debates, in particular on the prospects
for a successful nominalist reconstruction of mathematics, the nature of finitist intuition, the viability of alternative definitions of logical consequence, and the extent to which phenomenology can hope to account for the exact sciences.
  • ISBN10 0199546533
  • ISBN13 9780199546534
  • Publish Date 18 November 2010
  • Publish Status Active
  • Publish Country GB
  • Imprint Oxford University Press
  • Format Hardcover
  • Pages 632
  • Language English